High order harmonic generation in H2+

We examine two consequences of the unique behavior of molecular ions in intense laser fields. First, laser-induced crossings can be created with femtosecond laser pulses resulting in trapping of the molecular ion in high-field induced potential wells. We demonstrate this by numerical solutions of the time-dependent Schroedinger equation for H2+. Second we show results of numerical calculation with vibrationally excited H2+ of harmonic generation (HG), which can be enhanced by the trapping mechanism. We show next that in molecular ions, two plateaus appear in the harmonic generation spectrum, one of a molecular nature and the other atom like. Finally, we present an example of phase control of HG which can be explained in terms of a classical model.